Square root of 7672

The square root of 7672 is 87.589954 (rounded to 6 decimal places). In simplest radical form it is 2√1918.

Square root of 7672

Pick any whole number from 1 to 10,000.

\sqrt{7672} = 2\sqrt{1918} \approx 87.589954

How to work it out

1
The square root of 7672 is the number that multiplied by itself gives 7672.
2
7672 is between the perfect squares 87² = 7569 and 88² = 7744, so its square root is between 87 and 88.
3
Pull out the biggest square factor: 7672 = 4 × 1918, so
$\sqrt{7672} = \sqrt{4 \times 1918} = 2\sqrt{1918}$
4
A calculator, or long division of digits, gives
$\sqrt{7672} \approx 87.589954$

LaTeX source of the formulas on this page

\[ \sqrt{7672} = 2\sqrt{1918} \approx 87.589954 \]
\[ \sqrt{7672} = \sqrt{4 \times 1918} = 2\sqrt{1918} \]
\[ \sqrt{7672} \approx 87.589954 \]

What is the square root of 7672?

The square root of 7672 is 87.589954 (rounded to 6 decimal places). In simplest radical form it is 2√1918.

Is 7672 a perfect square?

No. It lies between 87² = 7569 and 88² = 7744.

What is 7672 squared?

7672 × 7672 = 58859584.

What is the square root of 7672 rounded to 2 decimals?

87.59.